Compact operator semigroups applied to dynamical systems
Dynamical Systems
2022-04-26 v4 Functional Analysis
Abstract
In this paper we develop a systematic theory of compact operator semigroups on locally convex vector spaces. In particular we prove new and generalized versions of the mean ergodic theorem and apply them to different notions of mean ergodicity appearing in topological dynamics.
Cite
@article{arxiv.1703.05014,
title = {Compact operator semigroups applied to dynamical systems},
author = {Henrik Kreidler},
journal= {arXiv preprint arXiv:1703.05014},
year = {2022}
}
Comments
corrected minor mistakes of the printed version (highlighted in red; see, in particular, the assumption of quasi-completeness in Theorem 4.7)